{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "221bd606-5857-4215-a211-e00e2811be50",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T05:58:24.910969Z",
     "start_time": "2025-04-29T05:58:24.898978Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np     #只需要下载numpy库即可\n",
    "import random\n",
    "import GridWorld_v3\n",
    "from draw import draw  #绘图函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6950d1fc18d087a",
   "metadata": {},
   "source": [
    "# 针对第4章的 value iteration代码进行 stochastic（随机）\n",
    "# 这个代码的目标是去得到一个基线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7a12dc85-ce6d-456e-91aa-e33e94304a7c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T05:58:24.919407Z",
     "start_time": "2025-04-29T05:58:24.912475Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "⬜️⬜️⬜️⬜️⬜️\n",
      "⬜️🚫🚫⬜️⬜️\n",
      "⬜️⬜️🚫⬜️⬜️\n",
      "⬜️🚫✅🚫⬜️\n",
      "⬜️🚫⬜️⬜️⬜️\n"
     ]
    }
   ],
   "source": [
    "\n",
    "rows = 5      #记得行数和列数这里要同步改\n",
    "columns = 5\n",
    "gridworld = GridWorld_v3.GridWorld_v3(forbiddenAreaScore=-1, score=1,desc = [\".....\",\".##..\",\"..#..\",\".#T#.\",\".#...\"]) \n",
    "gridworld.show()\n",
    "trajectorySteps = 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "159d9520-73e4-4740-826a-644db24bb9af",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T05:58:25.034448Z",
     "start_time": "2025-04-29T05:58:24.920410Z"
    }
   },
   "outputs": [],
   "source": [
    "# 策略评估过程，用于计算在给定策略下每个状态的价值\n",
    "# policy evaluation\n",
    "\n",
    "# 初始化策略，每个状态在 5 个动作上的概率均为 0.2\n",
    "policy = 0.2 * np.ones((rows*columns,5))\n",
    "# 折扣因子，用于控制未来奖励的重要性\n",
    "gamma = 0.99\n",
    "\n",
    "# 初始化状态价值函数，所有状态的价值初始为 0\n",
    "value = np.zeros(rows*columns)\n",
    "# 复制初始价值函数，并加 1 以确保进入迭代循环\n",
    "value0 = value.copy()+1\n",
    "\n",
    "# 迭代更新状态价值函数，直到价值函数收敛（两次迭代的价值差的平方和小于 0.0001）\n",
    "while(np.sum((value0-value)**2)>0.0001):\n",
    "    # 保存上一次迭代的状态价值函数\n",
    "    value0 = value.copy()\n",
    "    # 遍历所有状态，使用当前策略 policy 计算每个状态的价值\n",
    "    for i in range(rows * columns):   \n",
    "        # 重置当前状态的价值\n",
    "        value[i] = 0\n",
    "\n",
    "        # 特殊处理状态 17，这是一个关键状态\n",
    "        if i == 17:\n",
    "            # 应用贝尔曼迭代公式更新状态 17 的价值\n",
    "            value[i] = 1 + value0[17] * gamma \n",
    "            # 跳过后续的动作遍历，继续下一个状态的计算\n",
    "            continue\n",
    "        \n",
    "        # value[17] = 0.28\n",
    "        \n",
    "        # 遍历当前状态的所有 5 个动作\n",
    "        for j in range(0,5):\n",
    "            # 调用 gridworld 类的方法，获取执行动作 j 后的得分和下一个状态的 ID\n",
    "            score, nextState = gridworld.getScore(i,j)   \n",
    "            # 应用贝尔曼迭代公式更新当前状态的价值\n",
    "            value[i] += 0.2 * (score + value0[nextState] * gamma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a25d61c5-5f7e-45a5-9e2c-0a5f0a5cd11a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-29T05:58:25.333876Z",
     "start_time": "2025-04-29T05:58:25.035459Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 初始化动作价值数组，形状为 (rows*columns, 5)，初始值全为 1\n",
    "action_values = np.ones((rows*columns,5))\n",
    "# 遍历所有状态，这里假设总共有 25 个状态\n",
    "for i in range(25):\n",
    "    # 遍历每个状态下的 5 个动作\n",
    "    for j in range(5):\n",
    "        # 调用 gridworld 对象的 getScore 方法，获取当前状态-动作对的得分和下一个状态\n",
    "        score, nextState = gridworld.getScore(i,j)\n",
    "        # 根据贝尔曼方程更新动作价值数组中对应位置的值\n",
    "        action_values[i][j] = score + gamma * value[nextState]\n",
    "# 找出每个状态下动作价值最大的动作索引\n",
    "p = np.argmax(action_values,axis=1)\n",
    "# 调用 draw 函数，传入重塑后的价值函数和最优动作索引，绘制结果\n",
    "draw(value.reshape(5,5), p) #得到所有概率都是0.2的策略，贝尔曼方程的解"
   ]
  }
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